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BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
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Related Experiment Video

Updated: Feb 28, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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Interval Observer-Based Fault Isolation for Discrete-Time Fuzzy Interconnected Systems With Unknown Interconnections.

Zhi-Hui Zhang, Guang-Hong Yang

    IEEE Transactions on Cybernetics
    |June 11, 2017
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    Summary

    This study presents a novel fault isolation method for discrete-time fuzzy interconnected systems. The approach enhances observer performance and reduces conservatism for improved fault detection in complex systems.

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    Area of Science:

    • Control Systems Engineering
    • Fuzzy Systems
    • Fault Diagnosis

    Background:

    • Interconnected systems present challenges in fault isolation due to unknown interconnections.
    • Existing fault diagnosis methods may lack precision or be overly conservative.

    Purpose of the Study:

    • To develop a robust fault isolation interval observer for discrete-time fuzzy interconnected systems.
    • To enhance the performance and reduce conservatism in fault diagnosis.

    Main Methods:

    • Construction of fault isolation interval observers considering interconnection bounds and disturbances.
    • Application of l1 and H∞ performances for residual interval tightness and fault sensitivity.
    • Utilization of piecewise Lyapunov functions and dilated linear matrix inequalities for observer design.

    Main Results:

    • The proposed observer design conditions are less conservative than existing methods.
    • Effective fault isolation is achieved by checking for zero exclusion in residual intervals.
    • Simulation results demonstrate the method's effectiveness and superiority.

    Conclusions:

    • The developed fault isolation interval observer provides a less conservative and more effective approach for discrete-time fuzzy interconnected systems.
    • The method offers improved performance in terms of residual interval tightness and fault sensitivity.
    • This work contributes to advancing fault diagnosis techniques in complex networked systems.